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Paper Citation Record · LEDGER

Compactness for $GSBV^p$ via concentration-compactness

As of 16 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2501.16308.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2501.16308 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T13:43:57.557516Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:34:55.800307Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-15T18:34:55.899164Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact2
  • verified fuzzy13
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b90fd09c-5e24-447e-8af5-42919f493b52 · outbound

This paper cites Almi and E.

Compactness for $GSBV^p$ via concentration-compactness Almi and E

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.953063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T13:43:57.482870Z digest=sha256:646840608ae141c6d8f4d600b926ba5f37f4ed1a5aee3b2e4b8d5ac89232428b

Observation 07bf710c-184e-4d75-a9bf-62120130af63 · outbound

This paper cites Ambrosio, Existence theory for a new class of variational problems , Arch.

Compactness for $GSBV^p$ via concentration-compactness Ambrosio, Existence theory for a new class of variational problems , Arch

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.939297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T13:43:57.487940Z digest=sha256:4ba2577fe1009c066a1b1fc6d85070b81e9df2e2a407bc7d2488a32b39f49177

Observation 22a88a8b-34c9-4623-b90d-4890742426c6 · outbound

This paper cites 23 (1994), no.

Compactness for $GSBV^p$ via concentration-compactness 23 (1994), no

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.925111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T13:43:57.492679Z digest=sha256:ecea9351dec323d74e1b6234bd7b9625b00ba344e99c010ab4eff1d71586d5ad

Observation 79975fba-2935-4c83-9fb1-61dfad7afb44 · outbound

This paper cites Ambrosio, N.

Compactness for $GSBV^p$ via concentration-compactness Ambrosio, N

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.911513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T13:43:57.497155Z digest=sha256:e1974f3d0bb58d6cc353465e618a7de964a6fa7e6bff3dbae938f7b89964a3c2

Observation 45aca00e-64a0-46ff-b664-47a766122a5d · outbound

This paper cites Braides, Approximation of free discontinuity problems , Springer, 1998.

Compactness for $GSBV^p$ via concentration-compactness Braides, Approximation of free discontinuity problems , Springer, 1998

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.897384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T13:43:57.501628Z digest=sha256:5d3641807dc231e7a6747880309670aa6f11ae0b31de97e647593ba49825357f

Observation 0f6aaf50-d952-4d7b-9c6c-435fdd8ff5ef · outbound

This paper cites Chambolle and V.

Compactness for $GSBV^p$ via concentration-compactness Chambolle and V

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.882973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T13:43:57.505839Z digest=sha256:2df49d9b0886e2f58e3cf28b4c0c5fa65a9dfdd1df8af54000bfa3b041faf785

Observation 6b55ea33-b417-4590-a5f7-34d278618aba · outbound

This paper cites Chambolle and V.

Compactness for $GSBV^p$ via concentration-compactness Chambolle and V

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.869634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T13:43:57.510541Z digest=sha256:cea561143304b163295c1e3ca1fc7cb2b3e28c4513d37e75a3c24c17ed443f00

Observation ca9fb74e-2bbe-4f90-b82c-91e661c0bf9c · outbound

This paper cites Dal Maso, G.

Compactness for $GSBV^p$ via concentration-compactness Dal Maso, G

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.856076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T13:43:57.514885Z digest=sha256:680a8ba0e66638936725a986076b5c54993972eaa63801d6378fac019d502274

Observation 5c6d7f8a-ffcd-4da5-85a9-6a6076714ca6 · outbound

This paper cites Rational Mech.

Compactness for $GSBV^p$ via concentration-compactness Rational Mech

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.842505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T13:43:57.519209Z digest=sha256:5074c98c784ad6cbdab94678ad307047880e3aa716ee0721a3e8cca3f7029d2f

Observation 2958612b-3578-45b8-917f-bd1d9a44d023 · outbound

This paper cites Dal Maso and R.

Compactness for $GSBV^p$ via concentration-compactness Dal Maso and R

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.827068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T13:43:57.523702Z digest=sha256:b13f27dc6e478c990abbfbfdcd22372f0856424f7110c4ea4cfe12df3dbf46dc

Observation a9f63d26-5d5f-425f-b928-02a9bda8dafb · outbound

This paper cites Donati, A new space of generalised vector-valued functions of bound ed variation , arXiv preprint (2024), arxiv:2310.11538.

Compactness for $GSBV^p$ via concentration-compactness Donati, A new space of generalised vector-valued functions of bound ed variation , arXiv preprint (2024), arxiv:2310.11538

Reference 11

Resolution
verified exact
raw_fallback, observed 2026-08-10T13:43:57.748569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T13:43:57.528445Z digest=sha256:286ac37d2b1460b07e0a087798118e66e75d39ef00a831305df3bddc52f4e810

Observation ad327895-94c0-4b63-b4dd-cf157a3a0ce6 · outbound

This paper cites an unresolved cited work.

Compactness for $GSBV^p$ via concentration-compactness Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T13:43:57.810204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T13:43:57.533403Z digest=sha256:7fbb8deacdd3e5bd1b72a41cf053879e406c9555146d2d9601a4dc02ce8c853e

Observation be324871-7c51-438e-abb0-1658592d40d6 · outbound

This paper cites Friedrich, A compactness result in GSBV p and applications to Γ -convergence for free discontinuity problems , Calc.

Compactness for $GSBV^p$ via concentration-compactness Friedrich, A compactness result in GSBV p and applications to Γ -convergence for free discontinuity problems , Calc

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.794275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T13:43:57.538423Z digest=sha256:9cfa9f0beb5fff680c621861296298f267b6890dae97e56a07da55c69a3d6ea2

Observation 52bf1a4f-06b7-4c00-bdec-8bcabc08ee4c · outbound

This paper cites Friedrich and F.

Compactness for $GSBV^p$ via concentration-compactness Friedrich and F

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.778507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T13:43:57.543117Z digest=sha256:8d979a93783eb1bab2e0371d18cd89ed2a49d691d7794e7775e7bb2f519d477d

Observation 598f5f5e-b43a-4525-b255-5a75444f2bcd · outbound

This paper cites Linearization of quasistatic fracture evolution in brittle materials.

Compactness for $GSBV^p$ via concentration-compactness Linearization of quasistatic fracture evolution in brittle materials

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-10T13:43:57.547871Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T13:43:57.547871Z digest=sha256:0c8b03159eca59f13792c080aecf09c03ded004ec43355450a42e233bff2c637

Observation 54d578c4-5bfb-477a-9fd2-bd7ce19f5bb4 · outbound

This paper cites Lions, The concentration-compactness principle in the calculus o f variations.

Compactness for $GSBV^p$ via concentration-compactness Lions, The concentration-compactness principle in the calculus o f variations

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.763601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T13:43:57.552769Z digest=sha256:c7f81a7aab0e7effd2e9e4da44619aaf2d7eadd4169929763ca09f7a3aa0f931

Observation eb57d7ea-a29a-4668-95eb-561c96c8bc92 · outbound

This paper cites An elliptic approximation for phase separation in a fractured material.

Compactness for $GSBV^p$ via concentration-compactness An elliptic approximation for phase separation in a fractured material

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-10T13:43:57.602829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-10T13:43:57.557516Z digest=sha256:c99a9352210e19909db17510cdb076b0d92bd7bf227f1371867ea586281ab2a7

Pith citing papers

Observation 01448ff0-fd63-4062-abb7-43cc55c45866 · inbound

A matrix-valued measure associated to the derivatives of a function of generalised bounded deformation cites this paper.

A matrix-valued measure associated to the derivatives of a function of generalised bounded deformation Compactness for $GSBV^p$ via concentration-compactness

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-15T18:34:55.904423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T18:34:55.800307Z digest=sha256:c2cf64f61b408f02d8d78f78f3157dbafc98622c33a386091d818a02485d073d